TAM 570: Spectral Methods for CFD, Fall 2019

• Class Time: 9:00 - 10:50, M/W
• Class Location: Room 143, HAB
• Instructor: Paul Fischer, fischerp@illinois.edu
  • Office Hours: Tuesday, 1-3 PM, 4320 Siebel Center

About the Course

Spectral methods are among the most efficient approaches to simulation of turbulent flows. In this course students will learn how and why these methods work. They will write their own 3D spectral and multidomain spectral flow solvers in matlab that will allow exploration of state-of-the-art numerical methods and basic turbulent flow and heat transfer. We will cover all aspects of these methods, including numerical analysis, iterative solvers, high-order semi-implicit timesteppers, fast matrix-free operator evaluation and inversion. We will explore numerous motivating examples, with model problems from numerical analysis of PDEs to stability, transition, and turbulence in incompressible flows.

Course Schedule

• Schedule

Grading Policy

- 35% In class participation (labs, quizzes)
- 40% Homework
- 25% Final project